應(yīng)用Slepian局部譜方法解算中國(guó)大陸重力場(chǎng)球諧模型
本文選題:時(shí)空局部化方法 + Slepian函數(shù)。 參考:《測(cè)繪學(xué)報(bào)》2017年08期
【摘要】:根據(jù)經(jīng)典的球諧函數(shù)方法,為滿足正交化要求,觀測(cè)數(shù)據(jù)需要覆蓋整個(gè)球面,而對(duì)于地表局部測(cè)量數(shù)據(jù),則無(wú)法應(yīng)用球諧方法解算重力場(chǎng)模型。針對(duì)此問題,采用Slepian局部譜分析方法解算中國(guó)大陸范圍內(nèi)的實(shí)測(cè)重力場(chǎng)變化數(shù)據(jù),并以GOCE衛(wèi)星球諧函數(shù)解作為已知模型,評(píng)估由于實(shí)際陸地重力測(cè)點(diǎn)的非均勻分布對(duì)球諧函數(shù)解的誤差影響。通過計(jì)算多個(gè)階次中國(guó)大陸局部范圍的Slepian基函數(shù)分布;采用GOCE衛(wèi)星獲得重力場(chǎng)模型的前72階球諧系數(shù)作為已知結(jié)果,評(píng)價(jià)實(shí)際測(cè)點(diǎn)非均勻分布的解算有效性,并針對(duì)中國(guó)大陸地區(qū)采用Slepian基函數(shù)進(jìn)行解算,通過模型對(duì)比選擇最優(yōu)截段項(xiàng)數(shù);針對(duì)2005—2008年中國(guó)大陸地區(qū)流動(dòng)重力測(cè)量獲得的重力場(chǎng)變化信號(hào)進(jìn)行解算,獲得了72階重力場(chǎng)變化模型。
[Abstract]:According to the classical spherical harmonic function method, in order to meet the requirements of orthogonalization, the observed data need to cover the whole sphere, but the spherical harmonic method cannot be used to solve the gravity field model for the local surface measurement data. In order to solve this problem, the Slepian local spectrum analysis method is used to calculate the measured gravity field variation data in the mainland of China, and the spherical harmonic function solution of GOCE satellite is taken as the known model. The error of spherical harmonic function is evaluated because of the non-uniform distribution of actual terrestrial gravity points. By calculating the Slepian basis function distribution in the local range of the Chinese mainland with multiple orders, and using the GOCE satellite to obtain the first 72 order spherical harmonic coefficients of the gravity field model as the known results, the validity of the calculation of the non-uniform distribution of the actual measured points is evaluated. The Slepian basis function is used to solve the problem, and the optimal section number is selected by comparing the models, and the gravity field variation signal obtained from the flow gravimetry in the mainland of China from 2005 to 2008 is calculated. The variation model of 72 order gravity field is obtained.
【作者單位】: 中國(guó)地震局地球物理研究所;中國(guó)科學(xué)院地質(zhì)與地球物理研究所;
【基金】:科技部地震行業(yè)科研專項(xiàng)(201508006;201508009) 中國(guó)地震局地球物理研究所基本科研業(yè)務(wù)專項(xiàng)(DQJB16A05;DQJB16B07) 川滇國(guó)家地震監(jiān)測(cè)預(yù)報(bào)實(shí)驗(yàn)場(chǎng)項(xiàng)目(2016CESE0202)~~
【分類號(hào)】:P223
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